Given:
The quadratic equation is
To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is , then
We have,
It can be written as
...(i)
Here, .
Putting in (i), we get
On further simplification, we get
So, the vertex of the given quadratic equation is .
Therefore, the correct option is A.
Answer:
The required value of x = 3
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
The given three points are collinear to each other and the point P lies somewhere between the end points of the line MN
So, to find the value of x we can use the relation : Sum of Mid segments PM and PN is equal to complete length of the line segment MN
⇒ PN + PM = MN
⇒ 6·x + 2·x - 5 = 5·x + 4
⇒ 8·x - 5·x = 4 + 5
⇒ 3·x = 9
⇒ x = 3
Hence, The required value of x = 3
